Frequency of an Anharmonic Oscillator with Nonlinear Terms of Seventh Order

Кузнецов, А. И.; Karagioz, O. V.; Izmailov, V. P.

doi:10.1007/s11018-005-0233-7

Cited by 1 publication

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“…In principle, the analytical approach used here could be continued to provide the next-leading-order correction to the phase. However, the calculation rapidly becomes complicated [21,22]. We did, however, numerically investigate the second-order correction for the quartic potential, as this seems to be the case most likely to have practical importance.…”

Section: Anharmonic Trap: Second-ordermentioning

confidence: 99%

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Effect of trap anharmonicity on a free-oscillation atom interferometer

Leonard

Sackett

2012

Phys. Rev. A

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A free-oscillation interferometer uses atoms confined in a harmonic trap. Bragg scattering from an off-resonant laser is used to split an atomic wave function into two separated packets. After one or more oscillations in the trap, the wave packets are recombined by a second application of the Bragg laser to close the interferometer. Anharmonicity in the trap potential can lead to a phase shift in the interferometer output. In this paper, analytical expressions for the anharmonic phase are derived at leading order for perturbations of arbitrary power in the position coordinate. The phase generally depends on the initial position and velocity of the atom, which are themselves typically uncertain. This leads to degradation in the interferometer performance, and can be expected to limit the use of a cm-scale device to interaction times of about 0.1 s. Methods to improve performance are discussed.Comment: 8 pages, 5 figure

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Section: Anharmonic Trap: Second-ordermentioning

confidence: 99%

“…Figure 4 shows an example comparison including both first and second order contributions. We note that (22) and (35) have similar scaling with amplitude, so if neither λ 4 nor λ 6 are suppressed, then both terms must be considered if this level of accuracy is required.…”

Section: Anharmonic Trap: Second-ordermentioning

confidence: 99%

Effect of trap anharmonicity on a free-oscillation atom interferometer

Leonard

Sackett

2012

Phys. Rev. A

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show abstract

Frequency of an Anharmonic Oscillator with Nonlinear Terms of Seventh Order

Cited by 1 publication

References 0 publications

Effect of trap anharmonicity on a free-oscillation atom interferometer

Effect of trap anharmonicity on a free-oscillation atom interferometer

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